A motivic homotopy theory without $\mathbb{A}^1$ invariance
Algebraic Geometry
2019-10-04 v1 K-Theory and Homology
Abstract
In this paper, we continue the program initiated by Kahn-Saito-Yamazaki by constructing and studying an unstable motivic homotopy category with modulus, extending the Morel-Voevodsky construction from smooth schemes over a field to certain diagrams of schemes. We present this category as a candidate environment for studying representability problems for non -invariant generalized cohomology theories.
Keywords
Cite
@article{arxiv.1910.01339,
title = {A motivic homotopy theory without $\mathbb{A}^1$ invariance},
author = {Federico Binda},
journal= {arXiv preprint arXiv:1910.01339},
year = {2019}
}
Comments
35 pages. Old preprint from 2015 never posted on the ArXiv. To appear in Math. Zeit